Greatest Common Factor of 72/75, 17/41, 595/514

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 72/75, 17/41, 595/514

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 72/75,17/41,595/514

Given fractions are 72/75,17/41,595/514

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 72,17,595

Greatest Common Factor of Numerators i.e. GCF of 72,17,595 is 1 .

LCM of Denominators means LCM of 75,41,514 as per the given fractions.

LCM of 75,41,514 is 1580550 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 72,17,595

GCF of Fractions 72/75,17/41,595/514 is 1/1580550

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 72,17,595 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,17,595 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 595

List of positive integer factors of 595 that divides 595 without a remainder.

1,5,7,17,35,85,119,595

Greatest Common Factor

We found the factors 72,17,595 . The biggest common factor number is the GCF number.
So the greatest common factor 72,17,595 is 1.

Lets's calculate LCM of 75,41,514

Given numbers has no common factors except 1. So, there LCM is their product i.e 1580550

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1580550

Therefore, the GCF of Fractions 72/75,17/41,595/514 is 1/1580550

Least Common Multiple of 75,41,514 with GCF Formula

Least Common Multiple of 75,41,514 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 75,41,514 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,41,514) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(75,41,514) x common factors =1 x 1 = 1

LCM(75,41,514) = ( 75 × 41 × 514 ) / 1

LCM(75,41,514) = 1580550 / 1

LCM(75,41,514) = 1580550


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 72/75, 17/41, 595/514

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 72/75, 17/41, 595/514?

Answer: GCF of Numerators as per given numbers 72/75, 17/41, 595/514 is

GCF of Numerators i.e. for 72,17,595 is 1

LCM of denominators i.e. for 75,41,514 is 1580550.

Thus, GCF of Fractions is 1/1580550.Finally, GCF of Fractions for 72/75, 17/41, 595/514 is 1/1580550.